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ycow [4]
2 years ago
10

A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is x cubic inches and the volum

e of the larger bin is y cubic inches. The store has S smaller bins and L larger bins. Which expressions represents the total volume of all the bins?
Mathematics
1 answer:
raketka [301]2 years ago
5 0

Answer:

Total volume of all the bins = xS + yL

Step-by-step explanation:

Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.

To find: an expression that represents the total volume of all the bins

Solution:

The volume of the smaller bin = x cubic inches

The volume of the larger bin = y cubic inches

Also, the store has S smaller bins and L larger bins

So,

Total volume of all the bins = xS + yL

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-4 (r + 2) = 4 (2 - 2r)
Nady [450]

Answer:

r=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(r+2)=4(2−2r)

Step 1: Simplify both sides of the equation.

−4(r+2)=4(2−2r)

(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)

−4r+−8=8+−8r

−4r−8=−8r+8

Step 2: Add 8r to both sides.

−4r−8+8r=−8r+8+8r

4r−8=8

Step 3: Add 8 to both sides.

4r−8+8=8+8

4r=16

Step 4: Divide both sides by 4.

4r

4

=

16

4

r=4

Answer:

r=4

3 0
2 years ago
What is the unit form of 9 ten thousands divided by 10
inysia [295]

we know that

Ten thousand is equal to----------> 10,000

so

9 ten thousands divided by 10 is equal to

\frac{9*10,000}{10} =\frac{90,000}{10} =9,000

therefore

<u>the answer is</u>

9,000

5 0
2 years ago
Read 2 more answers
If 15% of the customer's total is $22.05, then the customer's total is
Harrizon [31]

<u>Answer</u>:  If 15% of the customer's total is $22.05, then the customer's total is <u>$147</u>.

<u>Step-by-step explanation</u>:

Let x be the customer's total amount.

It is given that 15% of the customer's total = $22.05

⇒15% of x= $22.05

\Rightarrow0.15x=\$22.05\\\\\text{Divide 0.15 on both sides, we get}\22.05\\\\\Rightarrow x=\frac{22.05}{0.15}\\\\\Rightarrow x=\$147

Therefore, If 15% of the customer's total is $22.05, then the customer's total is <u>$147</u>.

6 0
2 years ago
Read 2 more answers
A report from a Gallup poll 1 in 2011 started by saying, "Forty-five percent of American adults reported getting their health in
snow_tiger [21]

Answer:

The interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

Step-by-step explanation:

The confidence interval is the interval estimate of the population parameter.

The confidence interval has a certain probability that the true value of the parameter is contained in the interval.

The general form of the confidence interval is:

CI=SS\pm MOE

Here,

SS = sample statistic.

MOE = margin of error

The sample statistic is an unbiased estimator of the population parameter. If the sample size is large enough then the sample statistic can be used to estimate the population parameter value.

In this case the parameter of interest is the population proportion of American adults who got their health insurance from an employer.

The information provided is:

<em>SS = p = </em>0.45.

<em>MOE</em> = 0.02.

Compute the confidence interval for the population proportion <em>p</em> as follows:

CI=p\pm MOE\\=0.45\pm 0.02\\=(0.43, 0.47)

Thus, the interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

3 0
2 years ago
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la
nikdorinn [45]

Answer:

f(x) = 3(2)^x

Step-by-step explanation:

The Table is:

<u>x</u>    <u>f(x)</u>

-2   3/4

-1    3/2

0    3

1     6

2    12

The exponential funtion has the next form:

f(x) = a(b)^x

At x = 0, f(x) = a. Then, a = 3

Isolating b from the equation:

f(x)/a = b^x

ln(f(x)/a) = x*ln(b)

[ln(f(x)/a)]/x = ln(b)

At x = 1, f(x) = 6. Then:

[ln(6/3)]/1 = ln(b)

ln(2) = ln(b)

2 = b

Therefore, the function is f(x) = 3(2)^x

7 0
2 years ago
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